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The Response Times of Priority Classes under Preemptive Resume in M / M / m Queues

Author

Listed:
  • J. P. Buzen

    (BGS Systems, Inc., Waltham, Massachusetts)

  • A. B. Bondi

    (Purdue University, West Lafayette, Indiana)

Abstract

Expressions are derived for the mean response times of each priority level in a multiserver M / M / m queue operating under preemptive resume scheduling. Exact results are obtained for cases where all priorities have the same mean service times; approximate results are obtained for the more general case where mean service times may differ. The results hold for any number of servers and any number of classes. For each priority level, it is assumed that arrivals are Poisson and service times are exponentially distributed.

Suggested Citation

  • J. P. Buzen & A. B. Bondi, 1983. "The Response Times of Priority Classes under Preemptive Resume in M / M / m Queues," Operations Research, INFORMS, vol. 31(3), pages 456-465, June.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:3:p:456-465
    DOI: 10.1287/opre.31.3.456
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    Cited by:

    1. Ashis Kumar Chakraborty & Ritwika Chattopadhyay & Inder Kaur & Sayaran Mittra, 2022. "Optimization of the number of maintenance crew in a manufacturing unit," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 1-19, March.
    2. Li, Dong, 2020. "When less is more: Recovery technology investment and segmentation for uptime-centered services," European Journal of Operational Research, Elsevier, vol. 286(1), pages 267-281.
    3. Jianfu Wang & Opher Baron & Alan Scheller-Wolf, 2015. "M/M/c Queue with Two Priority Classes," Operations Research, INFORMS, vol. 63(3), pages 733-749, June.
    4. Mor Harchol-Balter & Takayuki Osogami & Alan Scheller-Wolf & Adam Wierman, 2005. "Multi-Server Queueing Systems with Multiple Priority Classes," Queueing Systems: Theory and Applications, Springer, vol. 51(3), pages 331-360, December.

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